Theoretical study of STₒ qubit implemented in DQD using 1D exactly solvable double well potential

Abstract

Using the ground state solution of harmonic oscillator, notated as Fock-Darwin (FD) states, along with the assumption of insignificant deviation as large energy separation between ground state and first excited state, the energy diagram of the electrons states in double quantum dot (DQD) can be obtained, as well as other energy features of the ST0 architecture [1], [2]. Although this method used for calculations conforms to experimental results, it is still an approximation and the results may be subjected to certain deviation and errors. The reason is that FD states are exact solutions, only, for parabolic potential of single potential well, which is not the potential field experienced by electrons in DQD (double wells). In this project, an exact solution of double well potential [3] is employed for calculating exchange coupling and comparisons are made with previous solutions using FD state.